12824200 has 48 divisors (see below), whose sum is σ = 30639780. Its totient is φ = 4988160.

The previous prime is 12824197. The next prime is 12824209. The reversal of 12824200 is 242821.

It can be written as a sum of positive squares in 6 ways, for example, as 7150276 + 5673924 = 2674^2 + 2382^2 .

It is not an unprimeable number, because it can be changed into a prime (12824209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6534 + ... + 8266.

Almost surely, 2^12824200 is an apocalyptic number.

12824200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12824200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15319890).

12824200 is an abundant number, since it is smaller than the sum of its proper divisors (17815580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12824200 is a wasteful number, since it uses less digits than its factorization.

12824200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 12824200 is about 3581.0892197766. The cubic root of 12824200 is about 234.0687454773.

It can be divided in two parts, 128 and 24200, that multiplied together give a square (3097600 = 1760²).

The spelling of 12824200 in words is "twelve million, eight hundred twenty-four thousand, two hundred".